All Precalculus Resources
Example Questions
Example Question #11 : Solve Systems Of Linear Equations
Find the point of intersection by using Gaussian elimination:
To solve this, let's first try to eliminate x. We can do this by adding the two equations:
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Which implies
We can now solve for x by plugging 2 in for y in either equation.
Thus we have the answer
Example Question #812 : Pre Calculus
Solve the following system of equations:
Let's solve this equation by eliminating the variable x by adding a multiple of the second equation to the first.
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Now let's combine those y values and solve for y.
Now all we have to do is plug that in for y in either original equation to solve for x.
Thus this yields the intersection point
Example Question #12 : Solve Systems Of Linear Equations
Solve the following system of equations for the intersection point in space:
Because one of the variables, z, has already been isolated, let's use the substitution method to solve this system of equations. We know z = 1, so let's plug that into the middle equation to solve for y:
Now that we have found y, let's solve for x by plugging both y and z into the top equation:
Thus we have found that the point of intersection would be
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